I don't necessarily like the videos that come with some of these, but here are a few favorite songs for worship, both modern and older.
You’ll Come
https://www.youtube.com/watch?v=2RmZFaruXhs
How Deep the Father’s Love
https://www.youtube.com/watch?v=e9FG12eTSbI This is a fairly recent hymn.
Praise to the Lord, the Almighty https://www.youtube.com/watch?v=JEh7Vt9sxmc This version is Fernando Ortega. I actually prefer the version on the album "Passion: Hymns Ancient and Modern" with various artists, though this one is hard to beat.
Ortega does a lot of older hymns in exceptional ways. Many great for worship. And even the ones that aren't are still great songs, just not necessarily for worship. I have a hard time selecting the best, but Come Thou Fount, is neat the top.